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Finding the Fourth Proportional to 5,482.78, 7,564.38 and 3,123.24

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Solution

The fourth proportional to 5,482.78, 7,564.38 and 3,123.24 is: 4,309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.78 : 7,564.38 = 3,123.24 : x
  2. Step 2: Convert to fraction form
    5,482.78/7,564.38 = 3,123.24/x
  3. Step 3: Cross multiply
    5,482.78x = 7,564.38 × 3,123.24
  4. Step 4: Simplify right side
    5,482.78x = 23,625,374.19
  5. Step 5: Solve for x
    x = 23,625,374.19/5,482.78
  6. Step 6: Final answer
    x = 4,309.01

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.